Dynamical system analysis is often used in cosmology[1]}. If it is not new for inhomogeneous spherical symmetric solutions, few of them have been studied that way. See for instance [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}. Due to the complexity of the field equations, it is generally difficult to obtain exact wormhole solutions or study extensively some numerical ones. Some wormhole models are easier to analyse than others, as the ones with zero tidal-force contrary to those for which the form of the exotic fluid is specified (for instance by its equation of state). The dynamical system analysis is then particularly useful. It allows representing in a finite phase space, with an appropriate choice of normalised variables, all the solutions of a first order equations system describing a static spherically symmetric wormhole without having to solve them. Beyond the mathematical analysis, classification and comparison of wormhole models in a common framework, the dynamical system formalism also allows to get general physical results thanks to the determination of specific points in the phase space that can be common to any model. Among them, the equilibrium points representing transient or asymptotically behaviours like the Minkowski solutions, but also some non equilibrium points like those standing for the wormhole throats.
